Question 760762
Step 1. 5 digits are 1,3,5,7 and 9 (Clue a and b - since all are different and all are odd)
Step 2: 1's place has to be 1 (Clue e)
Step 3:
Difference between 100's place and 10's place is 4 (Clue f)
So 100's place has to be 7 or 9 (Cannot be 5 because that would mean that 1 is in the 10's place - but we already know that 1 is in the 1's place)
100's place cannot be 7 (Clue c - 100's place is a multiple of 3)
So, 100's place is 9 and therefore, 10's place is 5
Step 4:
1000's place is 3 (Clue c - 100's place is 3 time's the 1000's place)
Step 5:
Therefore 10000's place has to be 7 (It is the only remaining digit. Also, Clue d says that difference between 10000's place and 1000's place is 4)

So the final solution is:
1's place: 1
10's place: 5
100's place: 9
1000's place: 3
10000's place: 7

The number is 73951